Analysis of Exponential–Polynomial Single Step Method for Singularly Perturbed Delay Differential Equations

This research presents Exponential – Polynomial Single Step Method (EPSSM), which uses non-linear polynomial interpolating function to solve Singularly Perturbed Delay Differential Equations (SPPDDEs). The stability polynomial of the method is obtained. The Local Grid Search Algorithm termed LGSA is...

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Vydané v:Journal of physics. Conference series Ročník 2199; číslo 1; s. 12007 - 12019
Hlavní autori: Fadugba, S. E, Vinci Shaalini, J., Ogunmiloro, O.M., Okunlola, J.T., Oyelami, F.H.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Bristol IOP Publishing 01.02.2022
Predmet:
34A12
65L05
65L20
65L70
Delay
Differential equations
exponential - polynomial single step method
Lagrange interpolation
Mathematical analysis
Numerical methods
Physics
Polynomials
Runge-Kutta method
Search algorithms
Singular perturbation methods
singularly perturbed DDEs
Stability
stability polynomial
stability region
ISSN:1742-6588, 1742-6596
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Shrnutí:This research presents Exponential – Polynomial Single Step Method (EPSSM), which uses non-linear polynomial interpolating function to solve Singularly Perturbed Delay Differential Equations (SPPDDEs). The stability polynomial of the method is obtained. The Local Grid Search Algorithm termed LGSA is applied in determining the stability region. The efficiency of these methods is compared with the other two numerical methods, namely Runge-Kutta Method (RKM) and Rational Single Step Method (RSM) through two examples of Singularly Perturbed Delay Differential Equations (SPPDDEs).
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2199/1/012007